Extending CATV about 1/2 mile is not a big deal. At worst, you'll need a line amplifier. Instead of connecting to your friend, is there someone near the end of the cable that can be convinced to attach a connection?
Lots of ways to do 1.2 miles. The easiest is 2 twisted pair and a pair of SDSL modems. Not all SDSL modems will work. I have a list somewhere. The catch is that you may be limited to about 3Mbits/sec thruput.
Good luck. We can't get dry pairs in SBC country at all. Totally impossible including alarm companies. I've tried. All drops go via the CO. Sorry.
I've done it for short distances without permission. They don't like it but it's too big a bother to tear them all down. As long as it's done professionally, they don't seem to care. I've also strung fiber legally on the former Pacific Bell poles. The cost was nominal (about $2/pole) to the utilities, but the insurance costs was really awful. Something like $20,000/year for $10million in liability. That's how they keep independents off the poles legally.
No problem. Most wireless repeaters only burn about 5 watts maximum. A gel cell and a solar charger can handle that.
No. They don't work. Please re-read whatever I wrote. The beamwidth necessary at both ends is very small. The reflector will by necessity be VERY big.
I've gotten it to work under limited conditions. One used a 4ft diamter dish at each end. The reflector was a solid piece of 3x6ft aluminium sheet metal. Losses were horrible, but it was good enough. Big problem in the morning when water condensed on the reflector and screwed up the signal.
Maybe. Let's see your calculations and I'll check them. However, I would prefer you re-post your question in alt.internet.wireless so I can deal with it at my leasure.
A 250mw (24dBm) amplifier at each end will improve the signal over the typical +15dBm radio by about 9dB. That's quite a bit and will help. However, the beamwidth will kill you no mattery how much power you have. A 6degree beamwidth 24dBi antenna at 0.6 miles (3200ft) will be over 300ft wide. Got a 300ft wide reflector? Cut the area in half and you lose 3dB. Half again, another 3dB. Do it often enough and you have no signal left.